Hopf algebras with triality

DOI10.1090/S0002-9947-2012-05656-XzbMath1278.16032arXiv1106.4302OpenAlexW2057518150MaRDI QIDQ4915121

Sara Madariaga Merino, José María Pérez-Izquierdo, Georgia M. Benkart

Publication date: 16 April 2013

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.4302

zbMATH Keywords

bialgebrasMoufang loopsMoufang-Hopf algebrasMal'cev algebrascocommutative Hopf algebrasHopf algebras with triality

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Loops, quasigroups (20N05) Mal'tsev rings and algebras (17D10) Bialgebras (16T10) Hopf algebras and their applications (16T05)

Related Items (12)

Lie bialgebras with triality and Mal'tsev bialgebras ⋮ Quantum quasigroups and loops. ⋮ Co-Moufang deformations of the universal enveloping algebra of the algebra of traceless octonions ⋮ One-sided quantum quasigroups and loops. ⋮ Linear representations of formal loops ⋮ Algebraic properties of quantum quasigroups ⋮ Hopf algebras in non-associative Lie theory ⋮ Multiplication alteration by two-cocycles: the non-associative version ⋮ Fundamental theorems of Doi-Hopf modules in a nonassociative setting ⋮ Quantum quasigroups and the quantum Yang-Baxter equation ⋮ One-sided Hopf algebras and quantum quasigroups ⋮ Maschke Type Theorems for Nonassociative Hopf Algebras

Cites Work

• Algebras, hyperalgebras, nonassociative bialgebras and loops
• Sylow's theorem for Moufang loops.
• Embeddability of Mal'tsev algebras in Lie algebras
• Lie algebras with triality
• An envelope for Malcev algebras.
• On loops of odd order. II
• Simple Moufang loops
• Lagrange's theorem for Moufang loops
• GROUPS WITH TRIALITY
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Hopf algebras with triality